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Finding the Fourth Proportional to 96.05, 132.50 and 77.62

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Solution

The fourth proportional to 96.05, 132.50 and 77.62 is: 107.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.05 : 132.50 = 77.62 : x
  2. Step 2: Convert to fraction form
    96.05/132.50 = 77.62/x
  3. Step 3: Cross multiply
    96.05x = 132.50 × 77.62
  4. Step 4: Simplify right side
    96.05x = 10,284.51
  5. Step 5: Solve for x
    x = 10,284.51/96.05
  6. Step 6: Final answer
    x = 107.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.